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Finding the Third Proportional to 195,413 and 293,637

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Solution

The third proportional to 195,413 and 293,637 is: 441,233.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,413 : 293,637 = 293,637 : x
  2. Step 2: Convert to fraction form
    195,413/293,637 = 293,637/x
  3. Step 3: Cross multiply
    195,413x = 293,637 × 293,637
  4. Step 4: Simplify right side
    195,413x = 86,222,687,769
  5. Step 5: Solve for x
    x = 86,222,687,769/195,413
  6. Step 6: Final answer
    x = 441,233.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.